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Grade 11Algebra

Solving the quadratic equation.
Plz do help me with the problem.

Question image for Solving the quadratic equation. Plz do help me wi
Profile image of Subhiksha
10 Years agoGrade 11
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2 Answers

Profile image of jagdish singh singh
ApprovedApproved Tutor Answer10 Years ago
\hspace{-0.6cm}$Given $x^2+6ax+b=0$ has roots $\sqrt{3+\sqrt{8}} = 1+\sqrt{2}$\\\\So other root is $1-\sqrt{2}.$\\\\So $1+\sqrt{2}+1-\sqrt{2}=-6a$ and $(1+\sqrt{2})\cdot (1-\sqrt{2})=b$\\\\So we get $3a=-1$ and $b=-1$. So $15ab=5$
Profile image of Subhiksha
10 Years ago
Its interesting that you wrote \sqrt{(3+\sqrt{8}} = 1 + \sqrt{2}
 
But is there any formula based on which you found it?? It could be useful..

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